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Finding the Third Proportional to 290,772 and 424,878.75

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Solution

The third proportional to 290,772 and 424,878.75 is: 620,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,772 : 424,878.75 = 424,878.75 : x
  2. Step 2: Convert to fraction form
    290,772/424,878.75 = 424,878.75/x
  3. Step 3: Cross multiply
    290,772x = 424,878.75 × 424,878.75
  4. Step 4: Simplify right side
    290,772x = 180,521,952,201.56
  5. Step 5: Solve for x
    x = 180,521,952,201.56/290,772
  6. Step 6: Final answer
    x = 620,836.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.